Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 1047 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.701 | 0.8802 | 0.7964 | [M:[1.0, 1.1151, 0.9819, 0.6727, 0.8849, 0.6908], q:[0.7788, 0.4334], qb:[0.5666, 0.4515], phi:[0.4424]] | [M:[[0], [4], [-18], [6], [-4], [24]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$ | ${}$ | -2 | t^2.018 + t^2.072 + 2*t^2.655 + t^2.946 + t^3. + t^3.636 + t^3.691 + 3*t^4.036 + t^4.091 + t^4.145 + t^4.327 + t^4.382 + 2*t^4.673 + 3*t^4.727 + t^4.964 + 2*t^5.018 + t^5.072 + 3*t^5.309 + t^5.6 + 2*t^5.655 + 2*t^5.709 + t^5.763 + t^5.891 - 2*t^6. + 2*t^6.054 + 3*t^6.109 + t^6.163 + t^6.217 + t^6.291 + t^6.345 + t^6.4 + t^6.454 + t^6.582 + t^6.636 + 5*t^6.691 + 3*t^6.745 + 3*t^6.799 - t^6.928 + 2*t^6.982 + 4*t^7.036 + 2*t^7.091 + t^7.145 + 3*t^7.327 + 4*t^7.382 + 3*t^7.673 + 4*t^7.727 + 2*t^7.781 + t^7.836 + t^7.909 + 4*t^7.964 - 2*t^8.018 + 2*t^8.072 + 2*t^8.127 + 3*t^8.181 + t^8.235 + t^8.255 + t^8.29 + 2*t^8.364 + 3*t^8.418 + t^8.472 + t^8.527 + t^8.546 - 3*t^8.655 + 3*t^8.709 + 8*t^8.763 + 3*t^8.818 + t^8.837 + 3*t^8.872 - 2*t^8.946 - t^4.327/y - t^6.345/y - t^6.4/y - t^6.982/y + t^7.091/y - t^7.273/y + t^7.382/y + (3*t^7.673)/y + (2*t^7.727)/y + t^7.964/y + (2*t^8.018)/y + t^8.072/y + t^8.255/y + (2*t^8.309)/y - t^8.364/y - t^8.418/y - t^8.472/y + (2*t^8.6)/y + (3*t^8.655)/y + (2*t^8.709)/y + t^8.763/y + t^8.946/y - t^4.327*y - t^6.345*y - t^6.4*y - t^6.982*y + t^7.091*y - t^7.273*y + t^7.382*y + 3*t^7.673*y + 2*t^7.727*y + t^7.964*y + 2*t^8.018*y + t^8.072*y + t^8.255*y + 2*t^8.309*y - t^8.364*y - t^8.418*y - t^8.472*y + 2*t^8.6*y + 3*t^8.655*y + 2*t^8.709*y + t^8.763*y + t^8.946*y | g1^6*t^2.018 + g1^24*t^2.072 + (2*t^2.655)/g1^4 + t^2.946/g1^18 + t^3. + t^3.636/g1^10 + g1^8*t^3.691 + 3*g1^12*t^4.036 + g1^30*t^4.091 + g1^48*t^4.145 + t^4.327/g1^2 + g1^16*t^4.382 + 2*g1^2*t^4.673 + 3*g1^20*t^4.727 + t^4.964/g1^12 + 2*g1^6*t^5.018 + g1^24*t^5.072 + (3*t^5.309)/g1^8 + t^5.6/g1^22 + (2*t^5.655)/g1^4 + 2*g1^14*t^5.709 + g1^32*t^5.763 + t^5.891/g1^36 - 2*t^6. + 2*g1^18*t^6.054 + 3*g1^36*t^6.109 + g1^54*t^6.163 + g1^72*t^6.217 + t^6.291/g1^14 + g1^4*t^6.345 + g1^22*t^6.4 + g1^40*t^6.454 + t^6.582/g1^28 + t^6.636/g1^10 + 5*g1^8*t^6.691 + 3*g1^26*t^6.745 + 3*g1^44*t^6.799 - t^6.928/g1^24 + (2*t^6.982)/g1^6 + 4*g1^12*t^7.036 + 2*g1^30*t^7.091 + g1^48*t^7.145 + (3*t^7.327)/g1^2 + 4*g1^16*t^7.382 + 3*g1^2*t^7.673 + 4*g1^20*t^7.727 + 2*g1^38*t^7.781 + g1^56*t^7.836 + t^7.909/g1^30 + (4*t^7.964)/g1^12 - 2*g1^6*t^8.018 + 2*g1^24*t^8.072 + 2*g1^42*t^8.127 + 3*g1^60*t^8.181 + g1^78*t^8.235 + t^8.255/g1^26 + g1^96*t^8.29 + 2*g1^10*t^8.364 + 3*g1^28*t^8.418 + g1^46*t^8.472 + g1^64*t^8.527 + t^8.546/g1^40 - (3*t^8.655)/g1^4 + 3*g1^14*t^8.709 + 8*g1^32*t^8.763 + 3*g1^50*t^8.818 + t^8.837/g1^54 + 3*g1^68*t^8.872 - (2*t^8.946)/g1^18 - t^4.327/(g1^2*y) - (g1^4*t^6.345)/y - (g1^22*t^6.4)/y - t^6.982/(g1^6*y) + (g1^30*t^7.091)/y - t^7.273/(g1^20*y) + (g1^16*t^7.382)/y + (3*g1^2*t^7.673)/y + (2*g1^20*t^7.727)/y + t^7.964/(g1^12*y) + (2*g1^6*t^8.018)/y + (g1^24*t^8.072)/y + t^8.255/(g1^26*y) + (2*t^8.309)/(g1^8*y) - (g1^10*t^8.364)/y - (g1^28*t^8.418)/y - (g1^46*t^8.472)/y + (2*t^8.6)/(g1^22*y) + (3*t^8.655)/(g1^4*y) + (2*g1^14*t^8.709)/y + (g1^32*t^8.763)/y + t^8.946/(g1^18*y) - (t^4.327*y)/g1^2 - g1^4*t^6.345*y - g1^22*t^6.4*y - (t^6.982*y)/g1^6 + g1^30*t^7.091*y - (t^7.273*y)/g1^20 + g1^16*t^7.382*y + 3*g1^2*t^7.673*y + 2*g1^20*t^7.727*y + (t^7.964*y)/g1^12 + 2*g1^6*t^8.018*y + g1^24*t^8.072*y + (t^8.255*y)/g1^26 + (2*t^8.309*y)/g1^8 - g1^10*t^8.364*y - g1^28*t^8.418*y - g1^46*t^8.472*y + (2*t^8.6*y)/g1^22 + (3*t^8.655*y)/g1^4 + 2*g1^14*t^8.709*y + g1^32*t^8.763*y + (t^8.946*y)/g1^18 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 1627 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6366 | 0.798 | 0.7977 | [M:[1.0, 1.1667, 0.75, 0.75, 0.8333, 1.0], q:[0.7917, 0.2917], qb:[0.7083, 0.5417], phi:[0.4167]] | 2*t^2.25 + 2*t^2.5 + 2*t^3. + t^3.25 + t^4. + t^4.25 + 5*t^4.5 + 3*t^4.75 + 4*t^5. + 3*t^5.25 + 6*t^5.5 + t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | {a: 3911/6144, c: 4903/6144, M1: 1, M2: 7/6, M3: 3/4, M4: 3/4, M5: 5/6, M6: 1, q1: 19/24, q2: 7/24, qb1: 17/24, qb2: 13/24, phi1: 5/12} |
| 1630 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6817 | 0.8513 | 0.8007 | [M:[1.0, 1.1429, 0.8571, 0.7143, 0.8571, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | t^2.143 + 4*t^2.571 + t^3. + t^3.429 + t^3.857 + 4*t^4.286 + 5*t^4.714 + 11*t^5.143 + 3*t^5.571 + 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3741/5488, c: 292/343, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 6/7, M6: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
| 1631 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6985 | 0.8743 | 0.7989 | [M:[1.0, 1.125, 0.9375, 0.6875, 0.875, 0.75], q:[0.7813, 0.4063], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.063 + t^2.25 + 2*t^2.625 + t^2.813 + t^3. + t^3.563 + t^3.75 + 3*t^4.125 + 2*t^4.313 + 2*t^4.5 + 2*t^4.688 + 4*t^4.875 + 2*t^5.063 + 4*t^5.25 + t^5.438 + 3*t^5.625 + 2*t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 91557/131072, c: 114597/131072, M1: 1, M2: 9/8, M3: 15/16, M4: 11/16, M5: 7/8, M6: 3/4, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
| 1632 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.7184 | 0.9121 | 0.7876 | [M:[1.0, 1.1126, 0.9933, 0.6689, 0.8874, 0.6756, 0.7815], q:[0.7782, 0.4403], qb:[0.5597, 0.4471], phi:[0.4437]] | t^2.007 + t^2.027 + t^2.345 + 2*t^2.662 + t^2.98 + t^3. + t^3.676 + 3*t^4.013 + t^4.034 + t^4.054 + t^4.331 + 2*t^4.351 + t^4.371 + 2*t^4.669 + 4*t^4.689 + t^4.987 + 4*t^5.007 + t^5.027 + 4*t^5.324 + t^5.345 + t^5.642 + t^5.662 + t^5.682 + t^5.703 + t^5.96 - 2*t^6. - t^4.331/y - t^4.331*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 658 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.6805 | 0.8404 | 0.8097 | [M:[1.0, 1.1174, 0.9715, 0.6762, 0.8826], q:[0.7794, 0.427], qb:[0.573, 0.4555], phi:[0.4413]] | t^2.029 + 2*t^2.648 + t^2.914 + t^3. + t^3.619 + t^3.705 + t^3.886 + 3*t^4.057 + t^4.324 + t^4.409 + 2*t^4.676 + t^4.762 + t^4.943 + t^5.029 + 3*t^5.295 + t^5.562 + 2*t^5.648 + t^5.733 + t^5.829 + t^5.914 - 2*t^6. - t^4.324/y - t^4.324*y | detail |